Now showing items 1-6 of 6
On the number of zeros of iterated operators on analytic Legendre expansions
Let L=(1−z2)D2−2zD, D=d/dz and f(z)=∑n=0∞cnpn(z), with Pn being the nth Legendre polynomialand f analytic in an ellipse with foci ±1. Set Lk=L(Lk−1), k≥2. Then the number of zeros of Lkf(z) in this ellipse is O(klnk).
Riesz bases and positive operators on Hilbert space
It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product onH in which it is an orthonormal ...
Growth of functions in cercles de remplissage
(Cambridge University Press, 2002-02)
Suppose that f is meromorphic in the plane, and that there is a sequence z(n) --> infinity and a sequence of positive numbers epsilon(n) --> 0, such that epsilon(n)\z(n)f(#)(z(n))/log\z(n)\ --> infinity. It is shown that ...
Fluid Limits of Optimally Controlled Queueing Networks
We consider a class of queueing processes represented by a Skorokhod problem coupled with a controlled point process. Posing a discounted control problem for such processes, we show that the optimal value functions converge, ...
Nonlinear Integral Inequalities in Two Independent Variables and Their Applications
(Hindawi Publishing Corporation, 2007-11-05)
This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma ( 2005) can be deduced as some special cases. ...